WGU C957 Applied Algebra OA Actual Exam Questions and Answers Latest Update

WGU C957 Applied Algebra OA Prep | Practice Questions
& Answers with Detailed Rationales Instant Download

EXAM COVERAGE SUMMARY
Key Topics Covered:
1. Functions and Function Notation
 Evaluating functions using f(x) notation
 Interpreting input/output pairs and ordered pairs
 Understanding domain, range, and intervals
 Inverse functions and their applications
2. Linear Functions
 Slope-intercept form: y = mx + b
 Calculating and interpreting slope as rate of change
 Y-intercept as initial/fixed value
 Graphing linear functions
 Real-world applications (cost, revenue, profit)
3. Polynomial Functions
 Degree of polynomials
 Concavity (concave up/down)
 Turning points and local/global extrema
 Quadratic functions and vertex formula
 Cubic and higher-degree polynomials
4. Exponential Functions
 Growth and decay models
 Constant ratio/common ratio
 Asymptotes (one asymptote)
 The number e and continuous growth
 Real-world applications (compound interest, population)
5. Logistic Functions
 S-shaped curves
 Upper and lower asymptotes
 Growth patterns (increasing/decreasing)

,  Concavity changes at inflection point
 Real-world applications (limited growth)
6. Regression and Correlation
 Coefficient of determination (r²)
 Interpreting r² values (0-0.3 weak, 0.3-0.7 moderate, 0.7-1.0 strong)
 Model selection (linear, polynomial, exponential, logistic)
 Interpolation vs extrapolation
 Parsimony principle (simplest model)
7. Average Rate of Change
 Formula: (f(b)-f(a))/(b-a)
 Interpreting rates over intervals
 Comparing rates of change
 Instantaneous vs average rate
8. Data Analysis
 Reading and interpreting tables
 Analyzing graphs and scatterplots
 Identifying trends and patterns
 Variables (quantitative vs qualitative, independent vs dependent)



SECTION 1: FUNCTIONS AND FUNCTION NOTATION

1. A marketing firm tracks monthly website traffic using the function V(m) where m

represents the month. If V(4) = 15,000, what does this represent?

A. The firm had 4 visitors in month 15,000

B. The firm had 15,000 visitors in month 4

C. The firm had 4,000 visitors in month 15

D. The firm had 15 visitors in month 4,000

,Answer: B

In function notation V(m), m is the input (month) and V(m) is the output (visitors).

V(4)=15,000 means when m=4, the number of visitors was 15,000.




2. A car rental company charges a base fee plus a per-mile rate. The function C(d) = 45

+ 0.15d gives the total cost for driving d miles. What is the correct interpretation of

C(120)?

A. The cost for driving 120 miles is $63

B. The cost for driving 45 miles is $120

C. The base fee is $120

D. The per-mile rate is $120 per mile

Answer: A

C(120)=45+0.15(120)=45+18=63. The input 120 represents miles driven, and the output

$63 is the total cost.




3. A bakery uses the function B(h) to represent the number of bread loaves baked in h

hours. What does the ordered pair (4, 85) represent?

A. It takes 4 hours to bake 85 loaves

B. 85 hours are needed to bake 4 loaves

C. The bakery bakes 4 loaves in 85 hours

D. The bakery bakes 85 loaves in 4 minutes

, Answer: A

An ordered pair is (input, output). (4,85) means when h=4 hours, B(4)=85 loaves were

baked.




4. A company's profit function is P(x) where x represents thousands of units sold. If

P(50) = 200, which statement is correct?

A. Selling 200 units yields $50,000 profit

B. Selling 50,000 units yields $200,000 profit

C. Selling 50 units yields $200 profit

D. Selling 200,000 units yields $50 profit

Answer: B

x=50 means 50,000 units (since x is in thousands). P(50)=200 means profit is 200 (likely in

thousands of dollars). So 50,000 units sold yields $200,000 profit.




5. A teacher uses the function G(s) to determine a student's grade based on study hours,

s. If G(8)=92, what is the input value?

A. 92

B. 8

C. Grade

D. Study hours

Answer: B

In G(s), s is the input variable. G(8)=92 means the input value is 8 (study hours).